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Finding the Fourth Proportional to 7,186.04, 9,912.84 and 4,829.84

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Solution

The fourth proportional to 7,186.04, 9,912.84 and 4,829.84 is: 6,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.04 : 9,912.84 = 4,829.84 : x
  2. Step 2: Convert to fraction form
    7,186.04/9,912.84 = 4,829.84/x
  3. Step 3: Cross multiply
    7,186.04x = 9,912.84 × 4,829.84
  4. Step 4: Simplify right side
    7,186.04x = 47,877,431.15
  5. Step 5: Solve for x
    x = 47,877,431.15/7,186.04
  6. Step 6: Final answer
    x = 6,662.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.